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Finding the Third Proportional to 38,902 and 60,352

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Solution

The third proportional to 38,902 and 60,352 is: 93,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,902 : 60,352 = 60,352 : x
  2. Step 2: Convert to fraction form
    38,902/60,352 = 60,352/x
  3. Step 3: Cross multiply
    38,902x = 60,352 × 60,352
  4. Step 4: Simplify right side
    38,902x = 3,642,363,904
  5. Step 5: Solve for x
    x = 3,642,363,904/38,902
  6. Step 6: Final answer
    x = 93,629.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.